What is confidence interval for the mean load


Discuss the below:

Q: How heavy a load (pounds) is needed to pull apart pieces of Douglas fir 4 in long and 1.5 inches square? Here are the data from students doing a laboratory exercise:

33,190 31,300
32,320 26,520
23,040 30,460
24,050 33,650
31,860 28,730
33,020 33,280
30,930 32,700
30,170 32,340
32,590 31,920
32,030
32,720

A) We are willing to regard the wood pieces prepared for the lab session as an SRS of all similar pieces of Douglas fir. Engineers also commonly assume that characteristics of materials vary Normally. Make a graph to show the shape of the distribution for these data. Does the Normality condition appear safe? Suppose that the strength of pieces of wood like these follows a Normal distribution with standard deviation 3000 pounds.

B) Give a 90% confidence Interval for the mean load required to pull the wood apart.

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